Answers

Capitalists only care about capital and to them all underlings, male or female, are merely disposable cogs. If you're talking about reproductive rights, the people who oppose that are only "Capitalists" in that they lean to the right and in the US we only get the two absurd extremes to choose from.

Capitalists actually benefit from women working and being seen as equals to men because it increases their worker supply, lowers wages, and increases sales that it in turn increases profits. This is why capitalist men fought for feminism since the 19th century.

Capitalism is very much about equal opportunity - not artificially advantaging anyone and allowing the best person to get the job or what ever it is, regardless of sex, race, etc. Discriminatory laws and practices such as affirmative action that restrict or promote some people over other based on factors other than ability are not capitalist.